Which of the following answers gives the best estimate for x

Question

𝑥
given the following equation?

x50−94=189
𝑥
50
−
94
=
189

(1 point)
Responses

150
150

150,000
150,000

1,500
1,500

15,000...

Answer 1

To estimate \( x \) in the equation:

\[ \frac{x}{50} - 94 = 189 \]

we can first isolate the term containing \( x \):

1. Add 94 to both sides:

\[ \frac{x}{50} = 189 + 94 \]

This simplifies to:

\[ \frac{x}{50} = 283 \]

2. Now multiply both sides by 50 to solve for \( x \):

\[ x = 283 \times 50 \]

3. Calculate \( 283 \times 50 \):

\[ 283 \times 50 = 14150 \]

So, \( x = 14150 \).

Now, looking at the responses provided:

• 150
• 150,000
• 1,500
• 15,000

The closest estimate to 14150 is 15,000.

Therefore, the best estimate for \( x \) is 15,000.